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Thus, at rated wind speed,

 

Wiki Markup
{latex}
\begin{eqnarray*}
C_p = \frac{P_{rated}}{P_{wind}}
    = \frac{P_{rated}}{0.5\rho A V_{rated}^3}
    = \frac{P_{rated}}{0.5(1.225\frac{kg}{m^3})(\frac{\pi(82.5m)^2}{4})(11.5\frac{m}{s})^3}
    = 0.30
\end{eqnarray*}

{latex}

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